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Finding the Fourth Proportional to 924.40, 1,386.82 and 308.06

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Solution

The fourth proportional to 924.40, 1,386.82 and 308.06 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.40 : 1,386.82 = 308.06 : x
  2. Step 2: Convert to fraction form
    924.40/1,386.82 = 308.06/x
  3. Step 3: Cross multiply
    924.40x = 1,386.82 × 308.06
  4. Step 4: Simplify right side
    924.40x = 427,223.77
  5. Step 5: Solve for x
    x = 427,223.77/924.40
  6. Step 6: Final answer
    x = 462.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.